A person moves towards north with uniform
speed of 15 m/s and cover 16 m. After this he
moves towards east and covers 6 m and finally
covers 8 m distance with same speed in south.
Find out
(i) Distance travelled by person
(ii) Displacement of person
(iii) Average velocity of person
Answers
Answer:
your answer is
Explanation:
1) distance is=16+6+8
=30m
2) displacement is=√8²+6²=√100
=10m
3)Vavg.=total distance /total time
total time =
(16/15 )+ (6/15)+ (8/15) =30/15
=30*15/30 =15m/s
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Answer:
(i) Distance: 30m
(ii) Displacement: 10m
(iii) Avg Velocity: 5m/s
Explanation:
(i) From the diagram;
Distance= AB+BC+CD
Distance= 16+6+8
So, Distance= 30m
(ii) From the diagram, the displacement of a person can be considered as AD. Now;
CD=OB= 8m
BC=OD= 6m
OA=AB-OB= 16-8 =8m
In ∆AOD; AD= √(OA)²+(OD)²
AD= √(8)²+(6)²
AD= √100 = 10m
Therefore; Displacement is 10m
(iii) Time=Distance/Speed
Time= 30/15 = 2seconds
Now;
Avg Velocity= Total Displacement/Total Time
Avg Velocity= 10/2 = 5m/s
The direction of velocity will be same as direction of displacement. Dis.(OA): North! Dis.(OD): East!
Applying ∆ Law; Direction Of Displacement/Velocity is towards North East.
So, Avg Velocity= 5m/s of North East!
Hope It Helps!